Constraints Optimization for Minimizing Stretch in Bounded-Parameterization

In a mesh parameterization process that generates one-to-one mapping information between a three-dimensional surface and a two-dimensional plane, we need to set some constraint positions in the solving system to define a specific location or size of the mapping plane. In this study, we will discuss how to perform a bounded-parameterization that minimizes distortion based on changing of constraints setting in the solving system. We introduce a series of experiments focusing on constraints optimization to deliver the optimal mapping information with less computational cost and time. Our proposed methods can reduce more than half of calculation costs and times from traditional method while maintaining the optimal mapping information.